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Module 4 Using TI-89 or Voyage 200 to Explore the Concept of Limit

Module 4 Using TI-89 or Voyage 200 to Explore the Concept of Limit

Module 4 Using TI-89 or Voyage 200 to Explore the Concept of Limit

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To find <strong>the</strong> x-value <strong>of</strong> <strong>the</strong> point <strong>of</strong> intersection <strong>of</strong> y2 = 1.9 (<strong>the</strong> lower bound <strong>of</strong> <strong>the</strong> y-<strong>to</strong>lerance) and<br />

y1= (<strong>the</strong> graph <strong>of</strong> <strong>the</strong> function), you need <strong>to</strong> specify <strong>the</strong> two curves.<br />

Selecting <strong>the</strong> Two Intersecting Curves<br />

To find a point <strong>of</strong> intersection <strong>of</strong> two curves, <strong>the</strong> curves must be selected. The curs<strong>or</strong> is already<br />

on <strong>the</strong> function y1, as indicated by <strong>the</strong> small "1" in <strong>the</strong> upper right p<strong>or</strong>tion <strong>of</strong> <strong>the</strong> screen.<br />

• Select <strong>the</strong> function as one <strong>of</strong> <strong>the</strong> curves by pressing<br />

The small + shown on <strong>the</strong> graph <strong>of</strong> <strong>the</strong> function indicates that it is <strong>the</strong> first curve selected. The<br />

curs<strong>or</strong> is on <strong>the</strong> lower h<strong>or</strong>izontal line <strong>to</strong> indicate that that line is currently chosen and it is blinking<br />

<strong>to</strong> indicate that it has not been selected. Note that "2" is shown in <strong>the</strong> upper right p<strong>or</strong>tion <strong>of</strong> <strong>the</strong><br />

screen <strong>to</strong> indicate that <strong>the</strong> current position <strong>of</strong> <strong>the</strong> curs<strong>or</strong> is on <strong>the</strong> graph <strong>of</strong> y2.<br />

• Designate <strong>the</strong> lower line (y2) as <strong>the</strong> second curve by pressing<br />

Specifying a Lower Bound<br />

The <strong>TI</strong>-<strong>89</strong> prompts you f<strong>or</strong> a lower bound<br />

• Choose a lower bound f<strong>or</strong> <strong>the</strong> point <strong>of</strong> intersection by pressing and holding <strong>the</strong> key until<br />

<strong>the</strong> curs<strong>or</strong> is <strong>to</strong> <strong>the</strong> left <strong>of</strong> <strong>the</strong> x-co<strong>or</strong>dinate <strong>of</strong> <strong>the</strong> point <strong>of</strong> intersection<br />

Any value less than <strong>the</strong> x-co<strong>or</strong>dinate at <strong>the</strong> point <strong>of</strong> intersection will w<strong>or</strong>k.<br />

• Select <strong>the</strong> lower bound by pressing<br />

Notice <strong>the</strong> small right arrow at <strong>the</strong> lower bound.

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